Question 656463: 16^.75/ 16^.25
How do you get 4 for the answer? I get (16/16) .75-.25
=1^.50 Found 2 solutions by Shana-D77, MathTherapy:Answer by Shana-D77(132) (Show Source):
You can put this solution on YOUR website! it would be great if we could just cancel bases, but we can't. For example:
5^3/5^2 = 125/25 = 5. It doesn't equal 3/2.
So, let's evaluate the numerator and denominator, then divide:
16^.75 = 8
16^.25 = 2
So, 8/2 = 4
Laws of exponents state that if dividing expressions with a similar base, the exponent in the denominator should be subtracted from the exponent in the numerator.
Hence, becomes:
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